Average Error: 0.1 → 0.1
Time: 5.2s
Precision: 64
\[x + \frac{x - y}{2}\]
↓
\[x + \frac{x - y}{2}\]
x + \frac{x - y}{2}
↓
x + \frac{x - y}{2}
double f(double x, double y) {
        double r599439 = x;
        double r599440 = y;
        double r599441 = r599439 - r599440;
        double r599442 = 2.0;
        double r599443 = r599441 / r599442;
        double r599444 = r599439 + r599443;
        return r599444;
}
↓
double f(double x, double y) {
        double r599445 = x;
        double r599446 = y;
        double r599447 = r599445 - r599446;
        double r599448 = 2.0;
        double r599449 = r599447 / r599448;
        double r599450 = r599445 + r599449;
        return r599450;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[1.5 \cdot x - 0.5 \cdot y\]

Derivation

  1. Initial program 0.1

    \[x + \frac{x - y}{2}\]

  2. Final simplification0.1

    \[\leadsto x + \frac{x - y}{2}\]

Reproduce

herbie shell --seed 2020020 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- (* 1.5 x) (* 0.5 y))

  (+ x (/ (- x y) 2)))